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絮话数学归纳法２３００２６中国科技大学数学系苏淳数学归纳法是一种重要的数学方法，有关归纳法的试题在数学竞赛中屡见不鲜．但要用好归纳法，却往往需作一番认真的构思．我们还是通过例子来说明．例１证明，对一切自然数ｎ，都存在自然数ｘｎ和ｙｎ．使得Ｘｎ２＋ｙｎ...
Xu Xuan, mathematical induction, 230026 Department of Mathematics, University of Science and Technology of China Su Shi’s mathematical induction is an important method of mathematics. Questions concerning induction are common in mathematical competitions. But to make good use of induction, it often takes a serious idea. We still illustrate by example. Example 1 proves that natural numbers xn and yn exist for all natural numbers n. Make Xn2+yn...